456.88/115.46 YES 456.88/115.46 property Termination 456.88/115.46 has value True 456.88/115.46 for SRS ( [a, b, a, a, b, a, a, a, a] -> [a, a, a, a, a, b, a, a, b, a, b, a, a, b]) 456.88/115.46 reason 456.88/115.46 remap for 1 rules 456.88/115.46 property Termination 456.88/115.46 has value True 456.88/115.46 for SRS ( [0, 1, 0, 0, 1, 0, 0, 0, 0] -> [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1]) 456.88/115.46 reason 456.88/115.46 reverse each lhs and rhs 456.88/115.46 property Termination 456.88/115.46 has value True 456.88/115.46 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0] -> [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.46 reason 456.88/115.46 DP transform 456.88/115.46 property Termination 456.88/115.46 has value True 456.88/115.47 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0] |-> [0#, 0]) 456.88/115.47 reason 456.88/115.47 remap for 10 rules 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0]) 456.88/115.47 reason 456.88/115.47 EDG has 1 SCCs 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.47 reason 456.88/115.47 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 4, solver = Minisatapi, verbose = False, tracing = True} 456.88/115.47 interpretation 456.88/115.47 0 / 0A 0A 0A 4A \ 456.88/115.47 | 0A 0A 0A 0A | 456.88/115.47 | -4A 0A 0A 0A | 456.88/115.47 \ -4A -4A 0A 0A / 456.88/115.47 1 / 0A 0A 0A 0A \ 456.88/115.47 | 0A 0A 0A 0A | 456.88/115.47 | -4A -4A -4A -4A | 456.88/115.47 \ -4A -4A -4A -4A / 456.88/115.47 2 / 1A 1A 1A 1A \ 456.88/115.47 | 1A 1A 1A 1A | 456.88/115.47 | 1A 1A 1A 1A | 456.88/115.47 \ 1A 1A 1A 1A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 5A 5A 5A 9A \ / 1A 1A 1A 5A \ True True 456.88/115.47 | 5A 5A 5A 9A | | 1A 1A 1A 5A | 456.88/115.47 | 5A 5A 5A 9A | | 1A 1A 1A 5A | 456.88/115.47 \ 5A 5A 5A 9A / \ 1A 1A 1A 5A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 5A 5A 5A 9A \ / 1A 1A 5A 5A \ True False 456.88/115.47 | 5A 5A 5A 9A | | 1A 1A 5A 5A | 456.88/115.47 | 5A 5A 5A 9A | | 1A 1A 5A 5A | 456.88/115.47 \ 5A 5A 5A 9A / \ 1A 1A 5A 5A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 5A 5A 5A 9A \ / 1A 5A 5A 5A \ True False 456.88/115.47 | 5A 5A 5A 9A | | 1A 5A 5A 5A | 456.88/115.47 | 5A 5A 5A 9A | | 1A 5A 5A 5A | 456.88/115.47 \ 5A 5A 5A 9A / \ 1A 5A 5A 5A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 5A 5A 5A 9A \ / 5A 5A 5A 5A \ True False 456.88/115.47 | 5A 5A 5A 9A | | 5A 5A 5A 5A | 456.88/115.47 | 5A 5A 5A 9A | | 5A 5A 5A 5A | 456.88/115.47 \ 5A 5A 5A 9A / \ 5A 5A 5A 5A / 456.88/115.47 [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 4A 4A 4A 8A \ / 4A 4A 4A 8A \ True False 456.88/115.47 | 4A 4A 4A 8A | | 4A 4A 4A 8A | 456.88/115.47 | 0A 0A 0A 4A | | 0A 0A 0A 4A | 456.88/115.47 \ 0A 0A 0A 4A / \ 0A 0A 0A 4A / 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.47 reason 456.88/115.47 EDG has 1 SCCs 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.47 reason 456.88/115.47 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 456.88/115.47 interpretation 456.88/115.47 0 / 0A 0A 0A 5A 5A \ 456.88/115.47 | 0A 0A 0A 5A 5A | 456.88/115.47 | 0A 0A 0A 0A 0A | 456.88/115.47 | -5A 0A 0A 0A 0A | 456.88/115.47 \ -5A -5A 0A 0A 0A / 456.88/115.47 1 / 0A 0A 0A 0A 0A \ 456.88/115.47 | -5A -5A -5A -5A 0A | 456.88/115.47 | -5A -5A -5A -5A -5A | 456.88/115.47 | -5A -5A -5A -5A -5A | 456.88/115.47 \ -5A -5A -5A -5A -5A / 456.88/115.47 2 / 1A 1A 2A 6A 6A \ 456.88/115.47 | 1A 1A 2A 6A 6A | 456.88/115.47 | 1A 1A 2A 6A 6A | 456.88/115.47 | 1A 1A 2A 6A 6A | 456.88/115.47 \ 1A 1A 2A 6A 6A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 11A 11A 11A 16A 16A \ / 6A 6A 6A 11A 11A \ True True 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 6A 6A 11A 11A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 6A 6A 11A 11A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 6A 6A 11A 11A | 456.88/115.47 \ 11A 11A 11A 16A 16A / \ 6A 6A 6A 11A 11A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 11A 11A 11A 16A 16A \ / 11A 11A 11A 16A 16A \ True False 456.88/115.47 | 11A 11A 11A 16A 16A | | 11A 11A 11A 16A 16A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 11A 11A 11A 16A 16A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 11A 11A 11A 16A 16A | 456.88/115.47 \ 11A 11A 11A 16A 16A / \ 11A 11A 11A 16A 16A / 456.88/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 11A 11A 11A 16A 16A \ / 6A 11A 11A 11A 11A \ True False 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 11A 11A 11A 11A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 11A 11A 11A 11A | 456.88/115.47 | 11A 11A 11A 16A 16A | | 6A 11A 11A 11A 11A | 456.88/115.47 \ 11A 11A 11A 16A 16A / \ 6A 11A 11A 11A 11A / 456.88/115.47 [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 456.88/115.47 lhs rhs ge gt 456.88/115.47 / 10A 10A 10A 15A 15A \ / 10A 10A 10A 15A 15A \ True False 456.88/115.47 | 10A 10A 10A 15A 15A | | 10A 10A 10A 15A 15A | 456.88/115.47 | 5A 5A 10A 10A 10A | | 5A 5A 5A 10A 10A | 456.88/115.47 | 5A 5A 10A 10A 10A | | 5A 5A 5A 10A 10A | 456.88/115.47 \ 5A 5A 5A 10A 10A / \ 5A 5A 5A 10A 10A / 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.47 reason 456.88/115.47 EDG has 1 SCCs 456.88/115.47 property Termination 456.88/115.47 has value True 456.88/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 456.88/115.47 reason 456.88/115.47 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 456.88/115.47 interpretation 456.88/115.47 0 Wk / 0A - - - \ 456.88/115.47 | - - 0A - | 456.88/115.47 | - 0A - - | 456.88/115.47 \ - - - 0A / 456.88/115.47 1 Wk / - 0A 0A 0A \ 457.09/115.47 | 0A 3A - 2A | 457.09/115.47 | - - - - | 457.09/115.47 \ - - - 0A / 457.09/115.47 2 Wk / 2A - 1A 1A \ 457.09/115.47 | - - 0A - | 457.09/115.47 | - - - - | 457.09/115.47 \ - - - 0A / 457.09/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0, 0] 457.09/115.47 lhs rhs ge gt 457.09/115.47 Wk / 4A 1A 7A 6A \ Wk / 2A - 1A 1A \ True True 457.09/115.47 | 3A 0A 6A 5A | | - - 0A - | 457.09/115.47 | - - - - | | - - - - | 457.09/115.47 \ - - - 0A / \ - - - 0A / 457.09/115.47 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0] 457.09/115.47 lhs rhs ge gt 457.09/115.47 Wk / 4A 1A 7A 6A \ Wk / 2A 1A - 1A \ True False 457.09/115.47 | 3A 0A 6A 5A | | - 0A - - | 457.09/115.47 | - - - - | | - - - - | 457.09/115.47 \ - - - 0A / \ - - - 0A / 457.09/115.47 [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 457.09/115.47 lhs rhs ge gt 457.09/115.47 Wk / 0A - 3A 2A \ Wk / 0A - 3A 2A \ True False 457.09/115.47 | 3A 0A 6A 5A | | 3A 0A 6A 5A | 457.09/115.47 | - - - - | | - - - - | 457.09/115.47 \ - - - 0A / \ - - - 0A / 457.09/115.47 property Termination 457.09/115.47 has value True 457.09/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 457.09/115.47 reason 457.09/115.47 EDG has 1 SCCs 457.09/115.47 property Termination 457.09/115.47 has value True 457.09/115.47 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 457.09/115.47 reason 457.09/115.47 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 457.09/115.47 interpretation 457.09/115.48 0 Wk / 0 0 1 0 \ 457.09/115.48 | 0 1 0 0 | 457.09/115.48 | 2 0 0 0 | 457.09/115.48 \ 0 0 0 1 / 457.09/115.48 1 Wk / 0 0 0 0 \ 457.09/115.48 | 1 0 0 0 | 457.09/115.48 | 1 1 0 1 | 457.09/115.48 \ 0 0 0 1 / 457.09/115.48 2 Wk / 1 0 0 0 \ 457.09/115.48 | 0 0 0 4 | 457.09/115.48 | 0 0 0 4 | 457.09/115.48 \ 0 0 0 1 / 457.09/115.48 [2, 0, 0, 0, 1, 0, 0, 1, 0] |-> [2, 0, 0, 0] 457.09/115.48 lhs rhs ge gt 457.09/115.48 Wk / 0 0 2 2 \ Wk / 0 0 2 0 \ True True 457.09/115.48 | 0 0 0 4 | | 0 0 0 4 | 457.09/115.48 | 0 0 0 4 | | 0 0 0 4 | 457.09/115.48 \ 0 0 0 1 / \ 0 0 0 1 / 457.09/115.48 [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 457.09/115.48 lhs rhs ge gt 457.09/115.48 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 457.09/115.48 | 0 0 0 0 | | 0 0 0 0 | 457.09/115.48 | 0 0 4 4 | | 0 0 4 2 | 457.09/115.48 \ 0 0 0 1 / \ 0 0 0 1 / 457.09/115.48 property Termination 457.09/115.48 has value True 457.09/115.48 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0] ->= [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 457.09/115.48 reason 457.09/115.48 EDG has 0 SCCs 457.09/115.48 457.09/115.48 ************************************************** 457.09/115.48 summary 457.09/115.48 ************************************************** 457.09/115.48 SRS with 1 rules on 2 letters Remap { tracing = False} 457.09/115.48 SRS with 1 rules on 2 letters reverse each lhs and rhs 457.09/115.48 SRS with 1 rules on 2 letters DP transform 457.09/115.48 SRS with 10 rules on 3 letters Remap { tracing = False} 457.09/115.48 SRS with 10 rules on 3 letters EDG 457.09/115.48 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 4, solver = Minisatapi, verbose = False, tracing = True} 457.09/115.48 SRS with 4 rules on 3 letters EDG 457.09/115.48 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 457.09/115.48 SRS with 3 rules on 3 letters EDG 457.09/115.48 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 457.09/115.48 SRS with 2 rules on 3 letters EDG 457.09/115.48 SRS with 2 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 457.09/115.48 SRS with 1 rules on 2 letters EDG 457.09/115.48 457.09/115.48 ************************************************** 457.09/115.48 (1, 2)\Deepee(10, 3)\EDG(5, 3)\Matrix{\Arctic}{4}(4, 3)\Matrix{\Arctic}{5}(3, 3)\Matrix{\Arctic}{4}(2, 3)\Matrix{\Natural}{4}(1, 2)\EDG[] 457.09/115.48 ************************************************** 457.09/115.49 let { done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight { modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]} 457.09/115.49 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 458.35/116.13 EOF